Counting Elliptic Curves in K3 Surfaces
Symplectic Geometry
2007-05-23 v1 Algebraic Geometry
Differential Geometry
Abstract
We compute the genus one family Gromov-Witten invariants of K3 surfaces for non-primitive classes. These calculations verify Gottsche-Yau-Zaslow formula for non-primitive classes with index two. Our approach is to use the genus two topological recursion formula and the symplectic sum formula to establish relationships among various generating functions.
Cite
@article{arxiv.math/0405041,
title = {Counting Elliptic Curves in K3 Surfaces},
author = {Junho Lee and Naichung Conan Leung},
journal= {arXiv preprint arXiv:math/0405041},
year = {2007}
}
Comments
9 pages